Optical soliton solutions of the generalized sine-Gordon equation

Authors

Yusuf Pandir Department of Mathematics, Faculty of Science and Art, Yozgat Bozok University, 66100 Yozgat, Turkey
Humaira Yasmin Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al Ahsa 31982 Saudi Arabia

https://doi.org/10.61383/ejam.20231239

Keywords:

trial equation method, elliptic function solution, soliton solution

Abstract

In this study, the extended trial equation method based on the general form of the nonlinear elliptic ordinary differential equation is
employed to solve the nonlinear generalized sine-Gordon equations. By using this method, we achieve, unlike new types of exact wave solutions such as Elliptic-F, Elliptic-E, and Elliptic-Π functions that are known as elliptic integrals.

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Published

2023 Sep 09

How to Cite

[1]

Y. Pandir and H. Yasmin, “Optical soliton solutions of the generalized sine-Gordon equation”, Electron. J. Appl. Math., vol. 1, no. 2, pp. 71–86, Sep. 2023.